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Finding the Third Proportional to 63,742.50 and 98,356.50

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Solution

The third proportional to 63,742.50 and 98,356.50 is: 151,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,742.50 : 98,356.50 = 98,356.50 : x
  2. Step 2: Convert to fraction form
    63,742.50/98,356.50 = 98,356.50/x
  3. Step 3: Cross multiply
    63,742.50x = 98,356.50 × 98,356.50
  4. Step 4: Simplify right side
    63,742.50x = 9,674,001,092.25
  5. Step 5: Solve for x
    x = 9,674,001,092.25/63,742.50
  6. Step 6: Final answer
    x = 151,766.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.